List questions from cyclotomic-fields

Published on 26 Apr 2017 - 8:39

48

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Finding out an element of degree $p$ in

Published on 26 Apr 2017 - 9:37

197

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The number of algebraic integer within the unit disk

Published on 01 May 2017 - 3:18

598

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what numbers are integrally represented by this quartic polynomial (norm form)

Published on 25 Mar 2026 - 6:01

88

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When is a product of sums of roots of unity an integer?

Published on 17 May 2017 - 13:49

762

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Find the minimal polynomial of $\alpha = e^{2\pi \imath/19}$, the Galois group of $\Bbb Q(\alpha) /\Bbb Q$, and the subfields of the extension

Published on 19 May 2017 - 12:04

422

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Question about the proof that cyclotomic polynomials are irreducible.

Published on 22 May 2017 - 0:53

965

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Subfields of $\Bbb Q(\zeta_8)$

Published on 29 May 2017 - 4:43

178

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Prove that $\Bbb Q(ζ_n)∩\Bbb R = \Bbb Q(ζ_n + ζ^{−1}_{n})$

Published on 29 May 2017 - 7:07

173

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(From Milne) Show that the ﬁxed ﬁeld of $H$ is $\Bbb Q(\sqrt{p})$ when $p=1 mod 4$ and $\Bbb Q(\sqrt{-p})$ when $p=3 mod 4$

Published on 30 May 2017 - 0:20

66

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How many ﬁelds are there strictly between $\Bbb Q(\zeta)$ and $\Bbb Q(\zeta^3)$

Published on 30 May 2017 - 18:44

692

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Relationship between the norm and the minimal polynomial

Published on 31 May 2017 - 22:25

332

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Principal ideals of integers ring of cyclotomic field

Published on 02 Jun 2017 - 23:53

110

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Counting compass and straightedge constructions

Published on 06 Jun 2017 - 21:39

60

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Property of action of a group ring on cyclotomic Galois extension

Published on 07 Jun 2017 - 21:48

List Question

Finding out the element of degree $p$ in $\Bbb Q(\zeta_{p^3})$

Finding out an element of degree $p$ in

The number of algebraic integer within the unit disk

what numbers are integrally represented by this quartic polynomial (norm form)

When is a product of sums of roots of unity an integer?

Find the minimal polynomial of $\alpha = e^{2\pi \imath/19}$, the Galois group of $\Bbb Q(\alpha) /\Bbb Q$, and the subfields of the extension

Question about the proof that cyclotomic polynomials are irreducible.

Subfields of $\Bbb Q(\zeta_8)$

Prove that $\Bbb Q(ζ_n)∩\Bbb R = \Bbb Q(ζ_n + ζ^{−1}_{n})$

(From Milne) Show that the ﬁxed ﬁeld of $H$ is $\Bbb Q(\sqrt{p})$ when $p=1 mod 4$ and $\Bbb Q(\sqrt{-p})$ when $p=3 mod 4$

How many ﬁelds are there strictly between $\Bbb Q(\zeta)$ and $\Bbb Q(\zeta^3)$

Relationship between the norm and the minimal polynomial

Principal ideals of integers ring of cyclotomic field

Counting compass and straightedge constructions

Property of action of a group ring on cyclotomic Galois extension

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